Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20184q |
Isogeny class |
Conductor |
20184 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
24640 |
Modular degree for the optimal curve |
Δ |
-69127010928 = -1 · 24 · 311 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 -1 -3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2368,45341] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:243:1] [-10:261:1] |
Generators of the group modulo torsion |
j |
-3764768000/177147 |
j-invariant |
L |
7.7522976558333 |
L(r)(E,1)/r! |
Ω |
1.0860268526374 |
Real period |
R |
0.162232252968 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40368i1 60552k1 20184d1 |
Quadratic twists by: -4 -3 29 |